Acronym | stohix |
Name | octagram - hexateron duoprism |
Circumradius | sqrt[(17-6 sqrt(2))/12] = 0.842354 |
Face vector | 48, 168, 286, 295, 188, 71, 14 |
Confer |
|
As abstract polytope stohix is isomorphic to ohix, thereby replacing octagrams by octagons, resp. stop by op, resp. stotet by otet, resp. stopen by open.
Incidence matrix according to Dynkin symbol
x3o3o3o3o x4/3x . . . . . . . | 48 | 5 1 1 | 10 5 5 1 | 10 10 10 5 | 5 10 10 10 | 1 5 5 10 | 1 1 5 ----------------+----+-----------+-------------+--------------+-------------+------------+------ x . . . . . . | 2 | 120 * * | 4 1 1 0 | 6 4 4 1 | 4 6 6 4 | 1 4 4 6 | 1 1 4 . . . . . x . | 2 | * 24 * | 0 5 0 1 | 0 10 0 5 | 0 10 0 10 | 0 5 0 10 | 1 0 5 . . . . . . x | 2 | * * 24 | 0 0 5 1 | 0 0 10 5 | 0 0 10 10 | 0 0 5 10 | 0 1 5 ----------------+----+-----------+-------------+--------------+-------------+------------+------ x3o . . . . . | 3 | 3 0 0 | 160 * * * | 3 1 1 0 | 3 3 3 1 | 1 3 3 3 | 1 1 3 x . . . . x . | 4 | 2 2 0 | * 60 * * | 0 4 0 1 | 0 6 0 4 | 0 4 0 6 | 1 0 4 x . . . . . x | 4 | 2 0 2 | * * 60 * | 0 0 4 1 | 0 0 6 4 | 0 0 4 6 | 0 1 4 . . . . . x4/3x | 8 | 0 4 4 | * * * 6 ♦ 0 0 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 5 ----------------+----+-----------+-------------+--------------+-------------+------------+------ x3o3o . . . . ♦ 4 | 6 0 0 | 4 0 0 0 | 120 * * * | 2 1 1 0 | 1 2 2 1 | 1 1 2 x3o . . . x . ♦ 6 | 6 3 0 | 2 3 0 0 | * 80 * * | 0 3 0 1 | 0 3 0 3 | 1 0 3 x3o . . . . x ♦ 6 | 6 0 3 | 2 0 3 0 | * * 80 * | 0 0 3 1 | 0 0 3 3 | 0 1 3 x . . . . x4/3x ♦ 16 | 8 8 8 | 0 4 4 2 | * * * 15 ♦ 0 0 0 4 | 0 0 0 6 | 0 0 4 ----------------+----+-----------+-------------+--------------+-------------+------------+------ x3o3o3o . . . ♦ 5 | 10 0 0 | 10 0 0 0 | 5 0 0 0 | 48 * * * | 1 1 1 0 | 1 1 1 x3o3o . . x . ♦ 8 | 12 4 0 | 8 6 0 0 | 2 4 0 0 | * 60 * * | 0 2 0 1 | 1 0 2 x3o3o . . . x ♦ 8 | 12 0 4 | 8 0 6 0 | 2 0 4 0 | * * 60 * | 0 0 2 1 | 0 1 2 x3o . . . x4/3x ♦ 24 | 24 12 12 | 8 12 12 3 | 0 4 4 3 | * * * 20 | 0 0 0 3 | 0 0 3 ----------------+----+-----------+-------------+--------------+-------------+------------+------ x3o3o3o3o . . ♦ 6 | 15 0 0 | 20 0 0 0 | 15 0 0 0 | 6 0 0 0 | 8 * * * | 1 1 0 x3o3o3o . x . ♦ 10 | 20 5 0 | 20 10 0 0 | 10 10 0 0 | 2 5 0 0 | * 24 * * | 1 0 1 x3o3o3o . . x ♦ 10 | 20 0 5 | 20 0 10 0 | 10 0 10 0 | 2 0 5 0 | * * 24 * | 0 1 1 x3o3o . . x4/3x ♦ 32 | 48 16 16 | 32 24 24 4 | 8 16 16 6 | 0 4 4 4 | * * * 15 | 0 0 2 ----------------+----+-----------+-------------+--------------+-------------+------------+------ x3o3o3o3o x . ♦ 12 | 30 6 0 | 40 15 0 0 | 30 20 0 0 | 12 15 0 0 | 2 6 0 0 | 4 * * x3o3o3o3o . x ♦ 12 | 30 0 6 | 40 0 15 0 | 30 0 20 0 | 12 0 15 0 | 2 0 6 0 | * 4 * x3o3o3o . x4/3x ♦ 40 | 80 20 20 | 80 40 40 5 | 40 40 40 10 | 8 20 20 10 | 0 4 4 5 | * * 6
ox3oo3oo3oo xx4/3xx&#x → height = sqrt(3/5) = 0.774597
({8/3} || stopen)
...
© 2004-2024 | top of page |